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Finding the Third Proportional to 347,163.47 and 541,043.30

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Solution

The third proportional to 347,163.47 and 541,043.30 is: 843,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,163.47 : 541,043.30 = 541,043.30 : x
  2. Step 2: Convert to fraction form
    347,163.47/541,043.30 = 541,043.30/x
  3. Step 3: Cross multiply
    347,163.47x = 541,043.30 × 541,043.30
  4. Step 4: Simplify right side
    347,163.47x = 292,727,849,093.37
  5. Step 5: Solve for x
    x = 292,727,849,093.37/347,163.47
  6. Step 6: Final answer
    x = 843,198.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.